question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: |-3x + 18| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 5 ≤ x ≤ 7 |
What is 88% of 225? | Compute the percent value (integer-safe). | Compute 88/100 × 225. | 198 |
Solve for x: -5(x + 1) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: 8x + 22 = -34 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
Solve for x: 7(x + 13) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve for x: 6(x + 9) = 138 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
What is 36% of 25? | Compute the percent value (integer-safe). | Compute 36/100 × 25. | 9 |
Solve: |-6x + -11| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 6x + -13 ≥ 71 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 14 |
If each item costs 12 dollars and the total cost is -48, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
What is 11% of 800? | Compute the percent value (integer-safe). | Compute 11/100 × 800. | 88 |
Solve: |7x + -6| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Simplify: -3x + 0x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 1y |
Solve: |-7x + 13| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
Solve: |-2x + 8| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 14 |
Solve for x: 8(x + 0) = -104 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Simplify: 3x + 6x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 2y |
If each item costs 19 dollars and the total cost is 19, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve: 9x + 4 < 148 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 16 |
What is 135% of 20? | Compute the percent value (integer-safe). | Compute 135/100 × 20. | 27 |
Solve for x: 7(x + -4) = -112 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve for x: 6(x + 13) = 126 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
What is 85% of 0? | Compute the percent value (integer-safe). | Compute 85/100 × 0. | 0 |
What is 96% of 0? | Compute the percent value (integer-safe). | Compute 96/100 × 0. | 0 |
Solve: |6x + 3| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |8x + -19| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
If each item costs -4 dollars and the total cost is 36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve: |-4x + 0| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 4 |
Solve: |6x + -5| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
What is 52% of 50? | Compute the percent value (integer-safe). | Compute 52/100 × 50. | 26 |
Solve for x: 5x + 14 = -51 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
If each item costs 2 dollars and the total cost is -10, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
What is 97% of 700? | Compute the percent value (integer-safe). | Compute 97/100 × 700. | 679 |
Solve: |3x + -6| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -10x + 18 > 98 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -8 |
Solve: |3x + 14| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -10 |
Solve for x: -1(x + -14) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: -7(x + 14) = -91 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Simplify: -5x + 6x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 3y |
If each item costs 0 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve for x: -8(x + 1) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: -5(x + -11) = 120 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: |-6x + -11| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
What is 139% of 900? | Compute the percent value (integer-safe). | Compute 139/100 × 900. | 1251 |
Solve for x: 8x + -24 = -48 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: |-1x + -9| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -14, -4 |
If each item costs 2 dollars and the total cost is 24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
What is -45% of 180? | Compute the percent value (integer-safe). | Compute -45/100 × 180. | -81 |
Solve for x: -11x + 15 = 191 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
What is 105% of 180? | Compute the percent value (integer-safe). | Compute 105/100 × 180. | 189 |
Solve for x: 8(x + -13) = -136 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Simplify: 7x + 5x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 7y |
If each item costs 18 dollars and the total cost is 162, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
Solve for x: -3(x + -2) = -27 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Simplify: -5x + -7x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x - 3y |
Solve for x: 11x + 11 = 143 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
If each item costs -9 dollars and the total cost is -18, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |8x + -12| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-6x + -15| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-5x + -3| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 3 |
Solve for x: -2(x + -13) = 40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Simplify: -4x + 1x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 2y |
Solve: |-7x + -11| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 1 |
If each item costs 20 dollars and the total cost is 440, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: |8x + -12| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
What is -32% of 150? | Compute the percent value (integer-safe). | Compute -32/100 × 150. | -48 |
Solve for x: 7x + 0 = -84 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Simplify: -3x + -6x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 5y |
What is 97% of 500? | Compute the percent value (integer-safe). | Compute 97/100 × 500. | 485 |
Solve: |-3x + -12| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -2x + -20 > 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
Solve for x: -5(x + 15) = -105 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Simplify: 3x + 6x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 2y |
What is 48% of 225? | Compute the percent value (integer-safe). | Compute 48/100 × 225. | 108 |
Solve for x: -2x + 17 = 51 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Solve: 9x + 0 < -72 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -8 |
Solve: |3x + -14| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-7x + -10| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
If each item costs -7 dollars and the total cost is 14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
What is 35% of 160? | Compute the percent value (integer-safe). | Compute 35/100 × 160. | 56 |
Solve: |-3x + 15| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -6(x + 4) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: -3x + 2 ≤ -28 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 10 |
If each item costs 18 dollars and the total cost is -72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve for x: 8(x + 10) = 120 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
If each item costs 0 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Simplify: 0x + -3x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 8y |
Simplify: -3x + 1x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 2y |
Simplify: -1x + 6x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 5y |
Solve: |-4x + -11| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 1(x + -7) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve for x: -2(x + -1) = 32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve: |3x + -3| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -2x + -19 ≤ 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -10 |
What is -41% of 800? | Compute the percent value (integer-safe). | Compute -41/100 × 800. | -328 |
Solve for x: -5(x + -12) = 120 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: |-3x + -4| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 3 |
What is -19% of 600? | Compute the percent value (integer-safe). | Compute -19/100 × 600. | -114 |
Simplify: -7x + 0x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 6y |
What is 48% of 150? | Compute the percent value (integer-safe). | Compute 48/100 × 150. | 72 |
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